This, incidentally, is exactly like going to MIT.
So. There's no vector calculus, but there are some easy differential equations later on and the T.A's work through some sample problems to bring people up to speed.
I think you'd be hard pressed to find a better intro to electronics, it is excellent.
Edit: I just watched through the intro again and I clearly wasn't paying attention at all when I first watched this, as he says exactly what you described. I will blame my wandering mind on the fact that I was hungry and my girlfriend was cooking up something tasty in the kitchen at the time :)